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Finding the Fourth Proportional to 23,066, 34,574.40 and 9,919.40

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Solution

The fourth proportional to 23,066, 34,574.40 and 9,919.40 is: 14,868.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,066 : 34,574.40 = 9,919.40 : x
  2. Step 2: Convert to fraction form
    23,066/34,574.40 = 9,919.40/x
  3. Step 3: Cross multiply
    23,066x = 34,574.40 × 9,919.40
  4. Step 4: Simplify right side
    23,066x = 342,957,303.36
  5. Step 5: Solve for x
    x = 342,957,303.36/23,066
  6. Step 6: Final answer
    x = 14,868.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.